A formula helps you or tells you what to do to find the are, perimeter, volume of any shape. A = 1 x w is a formula to find an area of a 2-d figure. it is a formula becuase it tells you what to do to find the area.
4x²-5=3x+4
4x²-3x-9=0
x=(3±√((-3)²-4*4*-9))/2*4
x=3±√(9+144) /8
x=(3±√153) /8
x=⅜±√153/8
Answer:
Bonnie is mixing 1.50 milliliter of soy sauce with 1 milliliter of vinegar
Step-by-step explanation:
Given
Bonnie mixes 150 milliliters of soy sauce with 100 milliliters of vinegar
So, in order to find the amount of soy sauce mixed with one ml of vinegar, we have to divide the amount of soy sauce by vinegar.
So,
Hence,
Bonnie is mixing 1.50 milliliter of soy sauce with 1 milliliter of vinegar
The line y = x + 3 has slope 1, so we look for points on the curve where the tangent line, whose slope is dy/dx, is equal to 1.
y² = x
Take the derivative of both sides with respect to x, assuming y = y(x) :
2y dy/dx = 1
dy/dx = 1/(2y)
Solve for y when dy/dx = 1 :
1 = 1/(2y)
2y = 1
y = 1/2
When y = 1/2, we have x = y² = (1/2)² = 1/4. However, for the given line, when y = 1/2, we have x = y - 3 = 1/2 - 3 = -5/2.
This means the line y = x + 3 is not a tangent to the curve y² = x. In fact, the line never even touches y² = x :
x = y² ⇒ y = y² + 3 ⇒ y² - y + 3 = 0
has no real solution for y.
